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Finding the Fourth Proportional to 741.34, 1,112.55 and 558.96

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Solution

The fourth proportional to 741.34, 1,112.55 and 558.96 is: 838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.34 : 1,112.55 = 558.96 : x
  2. Step 2: Convert to fraction form
    741.34/1,112.55 = 558.96/x
  3. Step 3: Cross multiply
    741.34x = 1,112.55 × 558.96
  4. Step 4: Simplify right side
    741.34x = 621,870.95
  5. Step 5: Solve for x
    x = 621,870.95/741.34
  6. Step 6: Final answer
    x = 838.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.